MODULE 1 Counting And Probability Complete

Learn more about counting and probability.

Arrangements And Selections Topic Completed

Expected Value Topic Completed

Probability Of Simple Events Topic Completed

Probability Of Compound Events Topic Completed

Independent Events Topic Completed

Probability Using Tree Diagrams Topic Completed

Probability Trees With And Without Replacement Topic Completed

Reverse Probability – Bayes’ Theorem Topic Completed

Bayes’ Theorem And Medical Testing Topic Completed

Probability Patterns Of Discrete Variables Topic Completed

Comparing Distributions Topic Completed

The Binomial Distribution Topic Completed

A Problem Using Binomial Distribution Topic Completed

Bernoulli Trials And The Binomial Formula Topic Completed

The Normal Distribution Topic Completed

Using Excel To Calculate Binomial Probabilities Topic Completed

Using Excel To Find The Mean Of A Binomial Distribution Topic Completed

MODULE 2 Statistics Complete

Learn more about statistics.

Cumulative Frequency And The Ogive Topic Completed

Cumulative Frequency, Quartiles And The Inter-Quartile Range Topic Completed

Mean Of Grouped Frequency Tables Topic Completed

Constructing A Stem And Leaf Diagram Topic Completed

Comparative Stem And Leaf Diagram Topic Completed

Histograms – Understanding That Area Gives Frequency Topic Completed

Introduction To Sampling Techniques Topic Completed

Random Stratified Sampling Topic Completed

Statistical Correlation Topic Completed

Measuring Correlation – Pearson’s Correlation Coefficient Topic Completed

Using Excel To Calculate Pearson’s Correlation Coefficient Topic Completed

Using Excel To Find Pearson’s Correlation Coefficient, Using The Inbuilt Function Topic Completed

Regression Lines And Their Equation Topic Completed

The Meaning Of The Coefficients In The Equation Of The Regression Line Topic Completed

Using Excel To Calculate The Equation Of The Regression Line Topic Completed

Using Excel To Find The Equation Of The Regression Line, Using Inbuilt Function Topic Completed

MODULE 3 Synthetic Geometry Complete

Learn more about synthetic geometry.

Properties Of Shapes Topic Completed

Geometric Reasoning – Part 1 Topic Completed

Geometric Reasoning – Part 2 Topic Completed

Geometric Reasoning – Part 3 Topic Completed

Geometric Reasoning – Part 4 Topic Completed

Proof Of Theorem 11 Topic Completed

Proof Of Theorem 12 Topic Completed

Proof Of Theorem 13 Topic Completed

MODULE 4 Coordinate Geometry Complete

Learn more about coordinate geometry.

Geometry With Coordinates Topic Completed

Equation Of A Straight Line Topic Completed

Parallel Lines Topic Completed

Perpendicular Lines Topic Completed

The Graphs Of Y=Kx^N Topic Completed

Translation Of Functions Topic Completed

Reflection Of Functions Topic Completed

Stretching Functions Topic Completed

General Transformation Of Functions Topic Completed

Equation Of A Circle 1 – Centre (0,0) Topic Completed

Equation Of A Circle 2 – Centre Not (0,0) Topic Completed

Equation Of A Circle 3 Topic Completed

Diameter Of A Circle Topic Completed

Tangent And Normal To A Circle Topic Completed

Touching Circles Topic Completed

Prove That A Line Is A Tangent To A Circle Topic Completed

Distance From A Point To A Line Topic Completed

Angle Between Two Lines Topic Completed

Dividing A Line Segment In A Given Ratio Topic Completed

MODULE 5 Trigonometry Complete

Learn more about trigonometry.

Finding Angles With Sine Ratio Topic Completed

Finding Sides With The Sine Ratio Topic Completed

Finding Angles With The Cosine Ratio Topic Completed

Finding Sides With The Cosine Ratio Topic Completed

Finding Angles With The Tangent Ratio Topic Completed

Finding Sides With The Tangent Ratio Topic Completed

Finding A Missing Side With The Sine Rule Topic Completed

Finding A Missing Angle With The Sine Rule Topic Completed

Problem Solving With The Cosine Rule Topic Completed

Introducing Radians Topic Completed

Using Radians To Find Area Of Sector Topic Completed

Sketching And Matching Trigonometric Functions Topic Completed

Graphing Trigonometric Functions. Y = Sinx – Calculator Work – In Degrees Topic Completed

Graphing Trigonometric Functions. Y = 3sin2x – Calculator Work – In Radians Topic Completed

Introducing The Unit Circle Topic Completed

The Unit Circle – Drawing Sine And Cosine Topic Completed

Comparing Degrees To Radians On The Unit Circle Topic Completed

Solving Trigonometric Equations Topic Completed

Proving The Sine Rule Topic Completed

Proving The Cosine Rule Topic Completed

Proving Trigonometric Identity – (Sin Squared + Cos Squared = 1) Topic Completed

Finding Areas With Trigonometry Topic Completed

3-D Trigonometry – The Cuboid Topic Completed

3-D Trigonometry – Rectangular Based Pyramid Topic Completed

Area Of A Segment Topic Completed

MODULE 6 Number Systems Complete

Learn more about number systems.

Large Numbers In Standard Form Topic Completed

Changing Decimals To Standard Fom Topic Completed

Changing Large Numbers From Standard Form Topic Completed

Changing Small Numbers From Standard Form Topic Completed

Adding And Multiplying Simple Powers Topic Completed

Working With Indices Topic Completed

Negative Indices Topic Completed

Fractional Indices, Numerator Of 1 Topic Completed

Index Power Equal To 0 Topic Completed

Positive Fractional Indices All Types Topic Completed

Negative Fractional Indices Topic Completed

Writing Index Numbers As A Power Of 2 Topic Completed

Quadratic Number Patterns Topic Completed

Manipulating Complex Numbers And The Complex Conjugate Topic Completed

The Argand Diagram And Modulus Topic Completed

The Meaning Of I Topic Completed

Patterns With Imaginary Numbers Topic Completed

Rational Or Irrational Topic Completed

Root 2 Is Irrational – Proof By Contradiction Topic Completed

Finding The Cube Roots Of 8 Topic Completed

Changing The Base Of Logarithms Topic Completed

Logarithmic Equations Topic Completed

Limits Of Sequences Topic Completed

Arithmetic Series Topic Completed

Geometric Series Topic Completed

Infinite Geometric Series – Part 1 Topic Completed

Infinite Geometric Series – Part 2 Topic Completed

Deriving Amortisation Formula From Geometric Series Topic Completed

The Sum Of The First N Natural Numbers – Proof By Induction Topic Completed

Proof By Induction Applied To A Geometric Series Topic Completed

Further Proof By Induction – Multiples Of 3 Topic Completed

Further Proof By Induction – Factorials And Powers Topic Completed

MODULE 7 Arithmetic – Financial Maths Complete

Learn more about arithmetic using financial maths.

Profit, Markup And Margin Topic Completed

Calculating Profit With Special Offers Topic Completed

Percentage Loss – Part 1 Topic Completed

Percentage Loss – Part 2 Topic Completed

Simple Interest – Calculating The Interest Topic Completed

Simple Interest – Calculating The Rate Topic Completed

Simple Interest – Calculating The Principal Topic Completed

Simple Interest – Calculating The Period Topic Completed

Percentage Changes Using Multipliers Topic Completed

Reverse Percentages And VAT Topic Completed

Introducing Compound Interest Topic Completed

Compound Interest And Annual Equivalent Rate Topic Completed

Compound Interest APR With Credit Cards Topic Completed

Depreciation Topic Completed

Calculating APR Topic Completed

Calculating Monthly Interest From APR – 2 Methods Topic Completed

Income Tax, USC And PRSI Topic Completed

Net Pay/Take Home Pay Topic Completed

Present Value – Working Out Future Value Topic Completed

Present Value – Working Out Present Value Topic Completed

Present Value – Harder Example Topic Completed

Present Value And Amortisation Problem Topic Completed

Completing An Amortization Schedule Topic Completed

Savings And Amortization Topic Completed

MODULE 8 Length, Area And Volume Complete

Learn more about length, area and volume.

Circumference Of A Circle Topic Completed

Area Of A Circle Topic Completed

Finding Radius And Diameter Of A Circle From Its Perimeter Topic Completed

Finding Radius And Diameter From Area Of Circle Topic Completed

Area Of Trapezium Topic Completed

Area Of Acute Angled Triangles Topic Completed

Area Of Obtuse Angled Triangles Topic Completed

Area Of Parallelogram Topic Completed

Area Of Rectangles Topic Completed

Area Compound Shapes (Rectangles) Topic Completed

Area Of Compound Shapes Topic Completed

Area Of Compound Shapes (Triangles) Topic Completed

Volume And Surface Area Topic Completed

Sectors And Arcs Topic Completed

Area Of A Segment Topic Completed

Volume Of Compound Solid

MODULE 9 Complex Numbers Complete

Learn more about complex numbers.

Manipulating Complex Numbers And The Complex Conjugate Topic Completed

The Argand Diagram And Modulus Topic Completed

The Meaning Of I Topic Completed

Patterns With Imaginary Numbers Topic Completed

Writing Complex Numbers In Polar Form Topic Completed

Multiplying And Dividing In Polar Form (Proof) Topic Completed

Multiplying And Dividing In Polar Form (Example) Topic Completed

Proof Of De Moivre’s Theorem Topic Completed

Complex Numbers When Solving Quadratic Equations Topic Completed

Cubic Equations With Complex Roots Topic Completed

Finding The Cube Roots Of 8 Topic Completed

MODULE 10 Expressions And Formulae Complete

Learn more about expressions and formulae.

Factorising Quadratics Topic Completed

Factorising – Difference Of Two Squares Topic Completed

Expanding Brackets (Grid Method) Topic Completed

Expanding Brackets (FOIL Method) Topic Completed

Expanding Any Two Brackets Topic Completed

Rearranging Simple Formulae Topic Completed

Rearranging Simple Formulae – 2 Steps Topic Completed

Rearranging Formulae With Squares And Square Roots Topic Completed

Rearranging Formulae New Subject Appearing Twice Topic Completed

Simplifying Surds Topic Completed

Further Calculations With Surds Topic Completed

Completing The Square Topic Completed

General Completing The Square Topic Completed

Binomial Expansion Topic Completed

MODULE 11 Solving Equations Complete

Learn more about solving equations.

Equations With Linear Functions In The Denominator Topic Completed

Quadratic Equations Using The Formula Topic Completed

Quadratic Equations Non Unitary X Squared Topic Completed

Quadratic Equations Both Brackets The Same Sign Topic Completed

Quadratic Equations Brackets With Different Signs Topic Completed

Quadratic Equations That Have To Be Rearranged Topic Completed

Solving Simultaneous Equations Graphically Topic Completed

Simultaneous Equations Both Negative Signs Topic Completed

Simultaneous Equations Negative And Positive Signs Topic Completed

Simultaneous Equations Both Positive Topic Completed

Hidden Quadratics Topic Completed

Use Of The Discriminant Topic Completed

Equations With Indices Topic Completed

Logarithmic Equations Topic Completed

Solving Exponential Equations Topic Completed

From Roots To Functions Topic Completed

Non-Linear Simultaneous Equations Topic Completed

Factor Theorem – Part 1 Topic Completed

Factor Theorem – Part 2 Topic Completed

The Remainder Theorem Topic Completed

General Remainder And Factor Theorem Topic Completed

Finding Roots Of Cubic Equation Topic Completed

Modulus Equations Topic Completed

Using Graphs To Solve Modulus Equations Topic Completed

MODULE 12 Inequalities Complete

Learn more about inequalities.

Finding Inequalities From Shaded Regions Topic Completed

Solving Linear Inequalities With Fractions Topic Completed

Solving Quadratic Inequalities – Method 1 Topic Completed

Solving Quadratic Inequalities – Method 2 Topic Completed

Solving Quadratic Inequalities – Method 3 Topic Completed

Non-Unitary X^2 – Trial And Error Method Topic Completed

Non-Unitary X^2 – Algebra Method Topic Completed

Non-Unitary X^2 – Graphical Method Topic Completed

Special Cases (Use SQI DoTS) Topic Completed

Rational Functions Topic Completed

Modulus Equations Topic Completed

Using Graphs To Solve Modulus Equations Topic Completed

Modulus Inequalities Topic Completed

Modulus Function On A Graph Topic Completed

Graphical Solution Of Modulus Inequalities Topic Completed

MODULE 13 Functions Complete

Learn more about functions.

Plotting Quadratic Graphs From Table Of Values Topic Completed

Plotting Cubic Graphs From Table Of Values Topic Completed

Plotting Reciprocal Graphs From Table Of Values Topic Completed

Plotting Exponential Graphs From Table Of Values Topic Completed

Matching Equations And Sketches Topic Completed

Sketching Parabola Using Completing The Square Topic Completed

Completing The Square And Sketching The Full Method Topic Completed

Matching Functions And Graphs – Quadratic / Exponential Topic Completed

Translation Of Functions Using F(X-A) Topic Completed

Translating Of Functions Using F(X)+A Topic Completed

Sketching Functions In X Direction Topic Completed

Sketching Functions In The Y Direction Topic Completed

The Discriminant Topic Completed

Inverse And Bijective Functions Topic Completed

MODULE 14 Calculus – Differentiation Complete

Learn more about differentiation.

Basic Differentiation Of Y = X^N Topic Completed

Differentiation Of Polynomials Topic Completed

Equation Of A Tangent Topic Completed

Equation Of A Normal Topic Completed

Harder Questions On Normals Topic Completed

General Differentiation Of X^N Topic Completed

Second Derivative Topic Completed

Differentiation Of Tangents Topic Completed

Using Different Variables Topic Completed

Differentiating Products And Quotients Topic Completed

The Chain Rule Topic Completed

The Product Rule Topic Completed

The Quotient Rule Topic Completed

Differentiation Of Logarithms Topic Completed

Differentiation Of Y = Sinx Topic Completed

Differentiation Of Y = Cosx Topic Completed

Differentiation And Rates Of Change Topic Completed

Rate Of Change – Example 1 Topic Completed

Rate Of Change – Example 2 Topic Completed

Differentiation And Turning Points Topic Completed

Differentiation And Matching Graphs Topic Completed

Applications Of Differentiation 1 (Displacement / Velocity / Acceleration) Topic Completed

Applications Of Differentiation 2 (Voltage / Current) Topic Completed

Maximum Volume Of Box Topic Completed

Exploring Relationships Between Graphs Of Cubic Functions And Their Differentials Topic Completed

Exploring Relationships Between Graphs Of Trigonometric Functions And Their Differentials Topic Completed

Exploring Relationships Between Graphs Of Exponential Functions And Their Differentials Topic Completed

Inverse Functions Differentiated Topic Completed

MODULE 15 Calculus – Integration Complete

Learn more about integration.

Basic Integration Topic Completed

The Integral Sign Topic Completed

Harder Integration Topic Completed

Definite Integration Topic Completed

Area Between Lines Topic Completed

Basic Differential Equations Topic Completed

Integration Of Trig Functions (Y=Cos4x) Topic Completed

Integration Of Exponentials Topic Completed

Introducing The Trapezoidal Rule Topic Completed

Trapezoidal Rule Into Integration Topic Completed

Finding The Area Between A Quadratic Function And A Straight Line Topic Completed

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